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Numerical Modeling And Software Development Of Large Deflection Nonlinear Beam Element

Posted on:2019-02-01Degree:MasterType:Thesis
Country:ChinaCandidate:J B ZhouFull Text:PDF
GTID:2322330569488543Subject:Mechanics
Abstract/Summary:PDF Full Text Request
Beam components are widely used in engineering,the safety and reliability are the main goals in design.In some cases,linear analysis cannot meet the calculation requirements and nonlinear analysis needs to be considered.There will be some limits of overseas large general finite element software.So it is important for mechanics workers and national security to develop a program algorithm with independent property rights to satisfy the analysis of nonlinear beam components.The main research work of this dissertation is as follows:(1)Based on finite element method and the need of programming,element stiffness matrix for linear analysis of beam elements under small deformation conditions and element stiffness matrix for nonlinear analysis of beam elements under large displacement conditions are derived,respectively.And the solver principle in the linear program and nonlinear program algorithm are introduced respectively.(2)Based on the needs of software FER/view that Professor Zhi-Qiang Feng developed,the input and output interface of the program is designed.And input data information and output data information is introduced.A beam element program algorithm that can be used to solve linear and nonlinear large deflection analysis is developed and embedded in the team's existing software platform by using the C++ language.In this article,several key problems in the process of program design are dealt with,including the coordinate transformation of element stiffness matrix,the processing of boundary conditions,and the assembly of element stiffness matrix.And the solver is designed according to the principle of the solver.Then the main program of this paper is introduced,and some codes in the program are annotated.(3)The effectiveness of the algorithm of this program is validated through several typical examples,and the calculation procedures in this paper is summarized,the deficiencies of the program is analyzed,and the direction of improvement is given.
Keywords/Search Tags:Beam element, Finite element method, Nonlinearity, Algorithm
PDF Full Text Request
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